We investigate the behavior of two-dimensional quantum field theories with N=(0,2) supersymmetry under a deformation induced by the "TT" composite operator. We show that the deforming operator can be defined by a point-splitting regularization in such a way as to preserve N=(0,2) supersymmetry. As an example of this construction, we work out the deformation of a free N=(0,2) theory, compare to that induced by the Noether stress-energy tensor and argue that, despite their apparent difference, they are equivalent on shell. Finally, we show that the N=(0,2) supersymmetric deformed action actually possesses N=(2,2) symmetry, half of which is nonlinearly realized.

T T deformations with N= (0,2) supersymmetry

Sfondrini A.;
2019

Abstract

We investigate the behavior of two-dimensional quantum field theories with N=(0,2) supersymmetry under a deformation induced by the "TT" composite operator. We show that the deforming operator can be defined by a point-splitting regularization in such a way as to preserve N=(0,2) supersymmetry. As an example of this construction, we work out the deformation of a free N=(0,2) theory, compare to that induced by the Noether stress-energy tensor and argue that, despite their apparent difference, they are equivalent on shell. Finally, we show that the N=(0,2) supersymmetric deformed action actually possesses N=(2,2) symmetry, half of which is nonlinearly realized.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3328131
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 41
  • ???jsp.display-item.citation.isi??? 38
social impact